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Finding the Fourth Proportional to 156.10, 233.62 and 117.49

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Solution

The fourth proportional to 156.10, 233.62 and 117.49 is: 175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.10 : 233.62 = 117.49 : x
  2. Step 2: Convert to fraction form
    156.10/233.62 = 117.49/x
  3. Step 3: Cross multiply
    156.10x = 233.62 × 117.49
  4. Step 4: Simplify right side
    156.10x = 27,448.01
  5. Step 5: Solve for x
    x = 27,448.01/156.10
  6. Step 6: Final answer
    x = 175.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.